A NUMERICAL TECHNIQUE FOR THE SOLUTION OF 2-DIMENSIONAL ELASTICITY PROBLEMS

A numerical technique for the solution of two dimensional elasticity problems, referred to as The Method of Complex Finite Domains, is presented. The technique is based on assumed piecewise continuous fields of the Kolosov–Muskhelishvile complex potentials ϕ(z), Ψ(z). External loads and boundary conditions are modelled as continuous functions in terms of the functions' values at suitable quadrature points on the boundary. The method has a wide scope of applications because the structure of the complex potentials is known for many important regions and because of its flexiblity in modelling complex loads and boundary conditions. A numerical example that demonstrates the convergence and applicability of the method as well as the efficiency of the boundary load model is presented. Copyright © 1990 John Wiley & Sons, Ltd